SeDuMi swMATH ID: 4002 Software Authors: Sturm J.F Description: SeDuMi is a Matlab toolbox for solving optimization problems over symmetric cones, i.e. it allows not only for linear constraints, but also quasiconvex-quadratic constraints and positive semi-definiteness constraints. Complex valued entries are allowed. Features include symbolic and numerical reordering schemes, balancing speed/accuracy performance and sophisticated dense column handling, using the Goldfarb-Scheinberg product form idea. Homepage: http://sedumi.ie.lehigh.edu/ Dependencies: Matlab Related Software: YALMIP; SDPT3; GloptiPoly; Sostools; CVX; Matlab; Mosek; SDPA; CSDP; LMI toolbox; SparsePOP; Benchmarks for Optimization Software; SDPLR; SDPLIB; PENNON; BARON; Robotics; CPLEX; UCI-ml; Ipopt Cited in: 1,322 Documents Standard Articles 2 Publications describing the Software, including 2 Publications in zbMATH Year Implementation of interior point methods for mixed semidefinite and second order cone optimization problems. Zbl 1032.90021Sturm, Jos F. 2002 Using SeDuMi 1. 02, a MATLAB toolbox for optimization over symmetric cones. Zbl 0973.90526Sturm, Jos F. 1999 all top 5 Cited by 1,977 Authors 35 Nie, Jiawang 27 Lasserre, Jean-Bernard 23 de Klerk, Etienne 23 Kojima, Masakazu 21 Henrion, Didier 19 Kim, Sunyoung 19 Peres, Pedro L. D. 19 Toh, Kim Chuan 18 Fan, Jinyan 18 Oliveira, Ricardo C. L. F. 16 Boyd, Stephen Poythress 16 Kanno, Yoshihiro 14 Zhou, Anwa 13 Parrilo, Pablo A. 13 Yamashita, Makoto 12 Sotirov, Renata 11 Chesi, Graziano 10 Briat, Corentin 10 Papachristodoulou, Antonis 10 Puig, Vicenç 10 Terlaky, Tamás 9 Deng, Zhibin 9 Rotondo, Damiano 9 Waki, Hayato 9 Zhang, Shuzhong 8 Beck, Amir 8 Fukushima, Masao 8 Povh, Janez 8 Xia, Yong 8 Yang, Zhengfeng 8 Ye, Yinyu 8 Zhou, Guangming 7 Eldar, Yonina Chana 7 Fukuda, Mituhiro 7 Lacerda, Marcio jun. 7 López, Julio E. 7 Magron, Victor 7 Nejjari, Fatiha 7 Pan, Shaohua 7 Peaucelle, Dimitri 7 Qi, Liqun 7 Sun, Defeng 7 Vandenberghe, Lieven 7 Wolkowicz, Henry 7 Zhang, Xinzhen 7 Zhu, Shushang 6 Ahmadi, Amir Ali 6 Anjos, Miguel F. 6 Asemani, Mohammad Hassan 6 Bernal, Miguel Angel 6 Bomze, Immanuel M. 6 Cheng, Jianqiang 6 Dumitrescu, Bogdan Alexandru 6 Faria, Flávio A. 6 Hu, ShengLong 6 Huang, Zheng-Hai 6 Jarre, Florian 6 Klep, Igor 6 Köroğlu, Hakan 6 Lee, Donghwan 6 Lisser, Abdel 6 Lu, Cheng 6 Muramatsu, Masakazu 6 Rodrigues, Luis Henrique 6 Scherer, Carsten W. 6 Tian, Ye 6 Wang, Guoqiang 6 Zhi, Lihong 6 Zhou, Julie 6 Zuluaga, Luis Fernando 5 Allgower, Frank 5 Assunção, Edvaldo 5 Bai, Yanqin 5 Bertsimas, Dimitris John 5 Burer, Samuel 5 Cardim, Rodrigo 5 Cerone, Vito 5 Chen, Jein-Shan 5 d’Aspremont, Alexandre 5 Ebihara, Yoshio 5 Fujisawa, Katsuki 5 Helton, John William 5 Kahl, Fredrik 5 Leite, Valter J. S. 5 Li, Zhongkui 5 Lin, Wang 5 Morais, Cecília F. 5 Nakata, Kazuhide 5 Pakshin, P. V. 5 Parpas, Panos 5 Regruto, Diego 5 Sagnol, Guillaume 5 Salahi, Maziar 5 Semenikhin, Konstantin V. 5 Sturmfels, Bernd 5 Takewaki, Izuru 5 Trnovská, Mária 5 Tütüncü, Reha H. 5 van Maaren, Hans 5 Vera, Juan-Carlos ...and 1,877 more Authors all top 5 Cited in 256 Serials 99 Automatica 85 Mathematical Programming. Series A. Series B 66 Computational Optimization and Applications 63 SIAM Journal on Optimization 44 Journal of Global Optimization 31 International Journal of Control 30 Journal of the Franklin Institute 30 Systems & Control Letters 28 Optimization Methods & Software 27 International Journal of Robust and Nonlinear Control 23 Mathematical Problems in Engineering 19 European Journal of Operational Research 17 European Journal of Control 15 Journal of Optimization Theory and Applications 15 Automation and Remote Control 15 Nonlinear Analysis. Hybrid Systems 14 Applied Mathematics and Computation 14 Optimization Letters 14 Mathematical Programming Computation 13 Information Sciences 13 Signal Processing 13 Linear Algebra and its Applications 13 Optimization and Engineering 12 SIAM Journal on Matrix Analysis and Applications 12 Journal of Machine Learning Research (JMLR) 12 Journal of Industrial and Management Optimization 11 International Journal of Computer Vision 9 Fuzzy Sets and Systems 9 Pattern Recognition 9 SIAM Journal on Scientific Computing 8 Mathematics of Operations Research 8 Journal of Scientific Computing 8 International Journal of Adaptive Control and Signal Processing 8 Journal of Mathematical Imaging and Vision 8 International Journal of Systems Science. Principles and Applications of Systems and Integration 7 Computer Methods in Applied Mechanics and Engineering 7 Discrete Applied Mathematics 7 ACM Transactions on Mathematical Software 7 Kybernetika 7 Operations Research 7 SIAM Journal on Control and Optimization 7 Operations Research Letters 7 Circuits, Systems, and Signal Processing 7 Annals of Operations Research 7 Computational Statistics and Data Analysis 6 International Journal for Numerical Methods in Engineering 6 Journal of Symbolic Computation 6 Neural Networks 6 Foundations of Computational Mathematics 6 Asian Journal of Control 5 Optimal Control Applications & Methods 5 Applied Numerical Mathematics 5 Computers & Operations Research 5 Multidimensional Systems and Signal Processing 5 Japan Journal of Industrial and Applied Mathematics 5 SIAM Review 5 INFORMS Journal on Computing 5 International Journal of Applied Mathematics and Computer Science 4 International Journal of Systems Science 4 Journal of the Operations Research Society of Japan 4 Optimization 4 Machine Learning 4 Numerical Algorithms 4 Applied Mathematical Modelling 4 Mathematical Methods of Operations Research 4 New Journal of Physics 4 SIAM Journal on Applied Algebra and Geometry 3 Mathematical Biosciences 3 Mathematics of Computation 3 Journal of Computational and Applied Mathematics 3 Journal of Functional Analysis 3 Theoretical Computer Science 3 Physica D 3 Journal of Computer and Systems Sciences International 3 Numerical Linear Algebra with Applications 3 Statistica Sinica 3 Journal of Combinatorial Optimization 3 CEJOR. Central European Journal of Operations Research 3 Discrete and Continuous Dynamical Systems. Series B 3 Journal of Systems Science and Complexity 3 Journal of Applied Mathematics and Computing 3 Quantum Information Processing 3 North American Actuarial Journal 3 Science China. Mathematics 2 Artificial Intelligence 2 IMA Journal of Numerical Analysis 2 International Journal of Solids and Structures 2 Metrika 2 Physics Letters. A 2 Chaos, Solitons and Fractals 2 Applied Mathematics and Optimization 2 Journal of Pure and Applied Algebra 2 Mathematics and Computers in Simulation 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 European Journal of Combinatorics 2 Acta Mathematicae Applicatae Sinica. English Series 2 Computational Mechanics 2 Journal of Economic Dynamics & Control 2 Communications in Statistics. Simulation and Computation 2 Communications in Statistics. Theory and Methods ...and 156 more Serials all top 5 Cited in 47 Fields 805 Operations research, mathematical programming (90-XX) 426 Systems theory; control (93-XX) 222 Numerical analysis (65-XX) 133 Computer science (68-XX) 78 Linear and multilinear algebra; matrix theory (15-XX) 78 Statistics (62-XX) 70 Calculus of variations and optimal control; optimization (49-XX) 63 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 54 Information and communication theory, circuits (94-XX) 35 Mechanics of deformable solids (74-XX) 34 Algebraic geometry (14-XX) 31 Ordinary differential equations (34-XX) 27 Combinatorics (05-XX) 22 Probability theory and stochastic processes (60-XX) 20 Dynamical systems and ergodic theory (37-XX) 20 Biology and other natural sciences (92-XX) 19 Commutative algebra (13-XX) 16 Integral transforms, operational calculus (44-XX) 14 Operator theory (47-XX) 14 Quantum theory (81-XX) 12 Number theory (11-XX) 11 Partial differential equations (35-XX) 11 Convex and discrete geometry (52-XX) 10 Mechanics of particles and systems (70-XX) 9 Approximations and expansions (41-XX) 8 Field theory and polynomials (12-XX) 6 Real functions (26-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 6 Functional analysis (46-XX) 6 Fluid mechanics (76-XX) 4 Mathematical logic and foundations (03-XX) 4 General algebraic systems (08-XX) 4 Optics, electromagnetic theory (78-XX) 3 General and overarching topics; collections (00-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Functions of a complex variable (30-XX) 2 Difference and functional equations (39-XX) 2 Geometry (51-XX) 1 History and biography (01-XX) 1 Associative rings and algebras (16-XX) 1 Nonassociative rings and algebras (17-XX) 1 Group theory and generalizations (20-XX) 1 Measure and integration (28-XX) 1 Special functions (33-XX) 1 Differential geometry (53-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Geophysics (86-XX) Citations by Year